Question

Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .

What is the length of GQ¯¯¯¯¯?

Answer 1

`GQ =25` --- GoTV

Explanation:

Given

`GQ = 2x + 3`

`GH= 5x - 5`

Required

Find GQ

Since Q is the midpoint, then:

`GH = 2 * GQ`

This gives:

`5x - 5 = 2[2x+3]`

Open bracket

`5x - 5 = 4x+6`

Collect like terms

`5x - 4x = 5+6`

`x =11`

We have:

`GQ =2x+3`

This gives:

`GQ =2*11+3`

`GQ =25`